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Finding the Fourth Proportional to 490.91, 736.41 and 144.25

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Solution

The fourth proportional to 490.91, 736.41 and 144.25 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.91 : 736.41 = 144.25 : x
  2. Step 2: Convert to fraction form
    490.91/736.41 = 144.25/x
  3. Step 3: Cross multiply
    490.91x = 736.41 × 144.25
  4. Step 4: Simplify right side
    490.91x = 106,227.14
  5. Step 5: Solve for x
    x = 106,227.14/490.91
  6. Step 6: Final answer
    x = 216.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.